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8103240324 = 223616672
BaseRepresentation
bin1111000101111110…
…11010001010000100
3202220201200021000000
413202333122022010
5113043412142244
63420024321300
7404543256234
oct74277321204
922821607000
108103240324
113489082433
1216a1913230
139c1a4c77a
1456c29dcc4
153265e0169
hex1e2fda284

8103240324 has 63 divisors (see below), whose sum is σ = 21274041607. Its totient is φ = 2699459784.

The previous prime is 8103240317. The next prime is 8103240347. The reversal of 8103240324 is 4230423018.

The square root of 8103240324 is 90018.

It is a perfect power (a square), and thus also a powerful number.

8103240324 is a `hidden beast` number, since 8 + 10 + 324 + 0 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4860139 + ... + 4861805.

Almost surely, 28103240324 is an apocalyptic number.

8103240324 is the 90018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8103240324

8103240324 is an abundant number, since it is smaller than the sum of its proper divisors (13170801283).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8103240324 is an frugal number, since it uses more digits than its factorization.

8103240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 8103240324 is about 2008.5666145016.

The spelling of 8103240324 in words is "eight billion, one hundred three million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1667 2916 3334 5001 6668 10002 15003 20004 30006 45009 60012 90018 135027 180036 270054 405081 540108 810162 1215243 1620324 2430486 2778889 4860972 5557778 8336667 11115556 16673334 25010001 33346668 50020002 75030003 100040004 150060006 225090009 300120012 450180018 675270027 900360036 1350540054 2025810081 2701080108 4051620162 8103240324